Biology is a strange thing adidasty.
If you look at the deffinition of eukaryotic cells you will get either that they have a nucleus or that they have membrane bound organelles. Red blood cells in mamals have neither of these.
Conclusion: They are not eukaryotic cells

"As a biologist, I firmly believe that when you're dead, you're dead. Except for what you live behind in history. That's the only afterlife" - J. Craig Venter